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Finding the Fourth Proportional to 448.51, 672.77 and 204.97

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Solution

The fourth proportional to 448.51, 672.77 and 204.97 is: 307.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.51 : 672.77 = 204.97 : x
  2. Step 2: Convert to fraction form
    448.51/672.77 = 204.97/x
  3. Step 3: Cross multiply
    448.51x = 672.77 × 204.97
  4. Step 4: Simplify right side
    448.51x = 137,896.64
  5. Step 5: Solve for x
    x = 137,896.64/448.51
  6. Step 6: Final answer
    x = 307.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.